Simplify sec A (1_Sin A)(SecA+TanA)
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(secA)(1-sinA)(secA + tanA)
= (1/cosA)(1-sinA)(1/cosA + sinA/cosA)
= (1-sinA/cosA)(1+sinA/cosA)
= 1-sin²A/cos²A
= cos²A/cos²A
= 1
Hope that helps !!
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